Texas after the 2016 presidential election. They asked a variety of questions, including whom the person voted for and their age. One age group of interest was 40–49 years. Although the proportion, ?, of voters ages 40–49 who voted for Donald Trump is not known, it does exist. Assume for this exercise that ?=0.540. Also assume that the exit poll consisted of 565 voters ages 40–49. Determine the value of ? such that in 99% of all samples of size 565, the proportion of Trump voters would be within ? of the population proportion, ?=0.540.
In an election, the population consists of the people who voted. Although there is overall data on how the population voted, there is no population data on how specific individuals voted.
Exit polls are small surveys that use random sampling to ask voters questions immediately after they have voted. CNN conducted an exit poll in Texas after the 2016 presidential election. They asked a variety of questions, including whom the person voted for and their age.
One age group of interest was 40–49 years. Although the proportion, ?, of voters ages 40–49 who voted for Donald Trump is not known, it does exist. Assume for this exercise that ?=0.540. Also assume that the exit poll consisted of 565 voters ages 40–49.
Determine the value of ? such that in 99% of all samples of size 565, the proportion of Trump voters would be within ? of the population proportion, ?=0.540.
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